English

Longest Paths in Circular Arc Graphs

Combinatorics 2013-12-12 v1

Abstract

As observed by Rautenbach and Sereni (arXiv:1302.5503) there is a gap in the proof of the theorem of Balister et al. (Longest paths in circular arc graphs, Combin. Probab. Comput., 13, No. 3, 311-317 (2004)), which states that the intersection of all longest paths in a connected circular arc graph is nonempty. In this paper we close this gap.

Cite

@article{arxiv.1312.3075,
  title  = {Longest Paths in Circular Arc Graphs},
  author = {Felix Joos},
  journal= {arXiv preprint arXiv:1312.3075},
  year   = {2013}
}

Comments

7 pages

R2 v1 2026-06-22T02:25:14.911Z